论文标题

无限延迟的差异方程的线性化

Linearization for difference equations with infinite delay

论文作者

Singh, Lokesh

论文摘要

在本文中,我们构建了一个结合图,用于具有无限延迟和相应非线性扰动的线性差方程。我们还证明,共轭图是一对一的,还有一些其他条件。作为结果的应用,我们表明(统一)指数二分法的病例遵循我们的结果。

In this article, we construct a conjugacy map for a linear difference equation with infinite delay and corresponding nonlinear perturbation. We also prove that the conjugacy map is one-one with some additional conditions. As an application of our result, we show that the cases of (uniform) exponential dichotomy follow from our result.

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